I'm going to be doing my first high gravity brew this weekend and I haven't read up on it all that much yet. I'm going to be brewing an IIPA with about 20 lbs of grain (and 9+ oz of hops). The only two yeast I have harvested and washed (have at my disposal) are Wyeast Labs American Ale - 1056 and Wyeast Labs London Ale - 1028. I can easily produce a yeast cake for this brew to be racked on top of, but I don't have any aeration equipment. Will a large yeast cake suffice in the place of the aeration equipment? I'll still shake the wort like a mad-man before hand, but I know that is very limiting and only doing probably 10% of the job.

I don't have any money or easy way to produce a yeast cake or a good enough starter with a yeast different than what I have, but should I get a different yeast anyway? Which yeast should I use that I have (or otherwise)?

Also, how would you suggest I go about my mashing and sparging? I have a 7.5 gallon aluminum brew-pot and a 10 gallon mash-tun. Does this sound like it would turn out okay?

So you have a copy of BeerSmith? Easily the best $20 you'll spend on this hobby. Takes a little bit of time to get it set up to your equipment, but once it is you're golden. I've not missed a temp yet thanks to it's calculations. I'm not home right now, so I can't plug your grain bill in (plus we'd need to know the breakdown of the grain bill to plug it in). If you want to mash at 1.25 qt/lb then you're a little high, it would be 6.25 gal. Overall it sounds like you're OK to go, though.

Having a well aerated and healthy starter can actually be more important than having a well aerated wort. Doing a proper starter should realistically grow all of the yeast you need to ferment the beer BEFORE you pitch, which would then mean that the wort would need very little oxygen in it because the yeast would just start fermenting right away.

So you have a copy of BeerSmith? Easily the best $20 you'll spend on this hobby. Takes a little bit of time to get it set up to your equipment, but once it is you're golden. I've not missed a temp yet thanks to it's calculations. I'm not home right now, so I can't plug your grain bill in (plus we'd need to know the breakdown of the grain bill to plug it in). If you want to mash at 1.25 qt/lb then you're a little high, it would be 6.25 gal. Overall it sounds like you're OK to go, though.

Having a well aerated and healthy starter can actually be more important than having a well aerated wort. Doing a proper starter should realistically grow all of the yeast you need to ferment the beer BEFORE you pitch, which would then mean that the wort would need very little oxygen in it because the yeast would just start fermenting right away.

Nice, my mash tun loses a good quart of water, that's why the grist ratio is a little wiggy. I actually just plugged the numbers and generals into this: http://www.brewheads.com/batch.php. It's got me within 1 degree of my temp and about a quart away from me desired pre-boil volume (but I blame my mash tun for that).

I'm wondering about doing a 90-120 minute mash and then sparging once after letting it sit or 20 minutes, but I don't know the effects of mashing that long, I wanted to do it in hope to get good/better efficiency than a regular 60 minute mash.

Also, I only boil off about .7-.8 gallons of water in 60 minutes, so I was thinking of doing a 120 minute boil. The issue I'm wondering is the effects a FWH would have when boiled for 120 minutes. I'd actually be adding the hops to the mash, so I'm not sure if that's quite the same as a FWH. Should I not do a FWH if I am going to boil for 90-120 minutes?

You've only got a 7.5 gallon brew kettle, and over 10 gallons total water for mash and sparge schedule. Even with grain absortion, what will you do with excess wort? I only ask because I'm about to do a 14lb grain bill, and my kettle is 8 gal.

As far as FWH, I'd skip it and go with "first simmer hop". You might degrade your hop goodness with a 120min boil.